Email this article F-projectors and F-covering subgroups of finite groups
- Authors: Vedernikov V.A.1, Sorokina M.M.2
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Affiliations:
- Moscow City Teachers’ Training University
- Bryansk State University
- Issue: Vol 57, No 6 (2016)
- Pages: 957-968
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170821
- DOI: https://doi.org/10.1134/S0037446616060033
- ID: 170821
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Abstract
Given a nonempty set ω of primes and a nonempty class F of groups, we define the Fω- projector and Fω-covering subgroup of a finite group and study their properties (existence, invariance under certain homomorphisms, conjugacy, and embedding). We extend the results of Gasch¨utz, Schunck, Erickson, and others.
About the authors
V. A. Vedernikov
Moscow City Teachers’ Training University
Author for correspondence.
Email: vavedernikov@mail.ru
Russian Federation, Moscow
M. M. Sorokina
Bryansk State University
Email: vavedernikov@mail.ru
Russian Federation, Bryansk
